3971358720 has 784 divisors, whose sum is σ = 17190354240. Its totient is φ = 859963392.

The previous prime is 3971358709. The next prime is 3971358731. The reversal of 3971358720 is 278531793.

It is a happy number.

3971358720 is a `hidden beast` number, since 39 + 7 + 13 + 587 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3971358709) and next prime (3971358731).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 209018871 + ... + 209018889.

Almost surely, 2^3971358720 is an apocalyptic number.

3971358720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3971358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595177120).

3971358720 is an abundant number, since it is smaller than the sum of its proper divisors (13218995520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3971358720 is an frugal number, since it uses more digits than its factorization.

3971358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3971358720 is about 63018.7172195690. The cubic root of 3971358720 is about 1583.6032063962.

The spelling of 3971358720 in words is "three billion, nine hundred seventy-one million, three hundred fifty-eight thousand, seven hundred twenty".